document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081710>Question 1081710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A football team consists of 14 each freshmen and sophomores, 13 juniors, and 10 seniors. Four players are selected at random to serve as captain. Find the probability:\r<BR>\n" );
document.write( "\n" );
document.write( "a) All four are seniors<BR>\n" );
document.write( "b)there is one each: freshman, sophomore, junior, senior<BR>\n" );
document.write( "c)there are two sophomores and 2 freshmen<BR>\n" );
document.write( "d) at least one student is a senior<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695993 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 51 players<BR>\n" );
document.write( "number of choices is 51C4=249,900<BR>\n" );
document.write( "seniors is 10C4=210, so probability is 0.0008<BR>\n" );
document.write( "1 of each: 14C1*14C1*13C1*10C1=25480 for probability of 0.1020<BR>\n" );
document.write( "14C2*14C2=91*91=8281 for probability of 0.0331<BR>\n" );
document.write( "at least 1 is a senior means 1- no seniors<BR>\n" );
document.write( "That is 41C4, the number of other players/51C4=0.4052 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );